Concept explainers
To find: the equation of the parabola in general form that has horizontal axis and passes through the given points.
Answer to Problem 47E
Explanation of Solution
Given:
The points are:
Concept used:
The parabola equation:
Where
Calculation:
Here the parabola has horizontal axis. Its directrix is parallel to
The equation of a parabola when the directrix is parallel to
Since, the equation
So, all these points satisfy the equation
Now substitute
So, the equation
Now substituting the
Also substituting
From the equation
Substitute
Therefore, the required equation of parabola is:
Hence,
Chapter 12 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
Calculus and Its Applications (11th Edition)
Precalculus
Calculus: Early Transcendentals (3rd Edition)
Precalculus (10th Edition)
University Calculus: Early Transcendentals (3rd Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning